Abstract
Factorizations of monoids are studied. Two necessary and sufficient conditions in terms of the so-called descent 1-cocycles for a monoid to be factorized through two submonoids are found. A full classification of those factorizations of a monoid whose one factor is a subgroup of the monoid is obtained. The relationship between monoid factorizations and non-abelian cohomology of monoids is analyzed. Some applications of semi-direct product of monoids are given.
Original language | English |
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Article number | 2450118 |
Journal | Journal of Algebra and its Applications |
Volume | 23 |
Issue number | 6 |
DOIs | |
Publication status | Published - May 1 2024 |
Keywords
- Monoid
- descent cohomology
- factorization
- monoid action
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics